Analysis of multiscale methods

Weinan E, Ping Bing Ming

Research output: Contribution to journalArticlepeer-review

21 Scopus citations

Abstract

The heterogeneous multiscale method gives a general framework for the analysis of multiscale methods. In this paper, we demonstrate this by applying this framework to two canonical problems: the elliptic problem with multiscale coefficients and the quasi-continuum method.

Original languageEnglish (US)
Pages (from-to)210-219
Number of pages10
JournalJournal of Computational Mathematics
Volume22
Issue number2
StatePublished - Mar 1 2004

All Science Journal Classification (ASJC) codes

  • Computational Mathematics

Keywords

  • Crystal
  • Homogenization
  • Multiscale problem
  • Quasicontinuum method

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